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The pressure field in the gas-lubricated step slider bearing. (English) Zbl 1059.76017
Summary: Singular perturbation methods are applied to an analysis of the operation of an isothermal gas step slider bearing of narrow geometry and operating at moderate bearing numbers. Approximate expressions are obtained for the pressure field in the lubricating gap, as well as the load-carrying capacity of the bearing; and the influence of the nature of the bearing step on those quantities is investigated. Comparisons are made with results obtained using a standard numerical package.
MSC:
76D08 Lubrication theory
35B25 Singular perturbations in context of PDEs
35Q35 PDEs in connection with fluid mechanics
76M45 Asymptotic methods, singular perturbations applied to problems in fluid mechanics
Software:
Mathematica
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References:
[1] Shepherd, J. Lub. Tech. 105 pp 491– (1983)
[2] Schmitt, J. Lub. Tech. 98 pp 446– (1976) · doi:10.1115/1.3452885
[3] Penesis, EMAC 2000 Proceedings, 4rd Biennial Engineering Mathematics and Applications Conference pp 239– (2000)
[4] Wolfram, Mathematica: a system for doing mathematics by computer (1991) · Zbl 0671.65002
[5] PDEase 2, Finite element analysis for partial differential equations (1993)
[6] DiPrima, J. Lub. Tech. 95 pp 208– (1973) · doi:10.1115/1.3451772
[7] Boyce, Elementary differential equations and boundary value problems (1992) · Zbl 0807.34002
[8] Penesis, Proceedings of EMAC98, 3rd Biennial Engineering Mathematics and Applications Conference pp 163– (1998)
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